Basudev Pattanayak

collaborators

3 papers

math.RT2026

Algorithms for parabolic inductions and Jacquet modules in $GL_{n}$

Kei Yuen Chan, Basudev Pattanayak

In this article, we present algorithms for computing parabolic inductions and Jacquet modules for the general linear group $G$ over a non-Archimedean local field. Given the Zelevin…

math.RT2025

Quotient branching laws and unitary Gan-Gross-Prasad relevance for general linear groups

Basudev Pattanayak

This article addresses the quotient branching problem for the pair $(GL_{n + 1} (F), GL_{n} (F))$ over a non-archimedean local field $F$ . We present two primary contrib…

math.RT2025

Classification of $GL_{n} (C)$ -Representations Distinguished by $GL_{n} (R)$

Basudev Pattanayak, Kaidi Wu, Hongfeng Zhang

This paper provides a complete classification of $GL_{n} (R)$ -distinguished irreducible representations of $GL_{n} (C)$ when the representations are e…

Algorithms for parabolic inductions and Jacquet modules in GLn​

Quotient branching laws and unitary Gan-Gross-Prasad relevance for general linear groups

Classification of GLn​(C)-Representations Distinguished by GLn​(R)

Algorithms for parabolic inductions and Jacquet modules in $GL_{n}$

Classification of $GL_{n} (C)$ -Representations Distinguished by $GL_{n} (R)$